Question

Answer this please, thanks

Answer 1

Answer:

B

Step-by-step explanation:

under a dilatation about the origin of scale factor 3

since dilatation is about the origin multiply the coordinates of A, B and C by 3

A(8, 15) → A' (24, 45)

B(12, 13) → B'(36, 39)

C(8, 10) → C'(24, 30)

using the distance formula

with (x₁, y₁ ) = C'(24, 30) and (x₂, y₂ ) = B'(36, 39)

BC = $\sqrt{(36-24)^2+(39-30)^2}$

     = $\sqrt{144+81}$ = $\sqrt{225}$ = 15 → B